Born-Jordan Quantization

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Theory and Applications, Fundamental Theories of Physics 182

ISBN: 3319279009
ISBN 13: 9783319279008
Autor: de Gosson, Maurice A
Verlag: Springer Verlag GmbH
Umfang: xiii, 226 S.
Erscheinungsdatum: 29.01.2016
Auflage: 1/2016
Format: 1.9 x 24.2 x 16
Gewicht: 523 g
Produktform: Gebunden/Hardback
Einband: Gebunden

This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born-Jordan scheme is used. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born-Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero.

Artikelnummer: 8799043 Kategorie:

Beschreibung

Autorenporträt

Maurice de Gosson is a research professor at the Univer-sity of Vienna. He has held various visiting positions at prestigious Universities(Yale, Boulder, Tel Aviv).

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E-Mail: juergen.hartmann@springer.com

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